Algebra-2

To find the equation of the function based on the given properties of the graph of , let's analyze the transformations:

1.Vertical Asymptote: The function approaches as x approaches -4 from the left and as x approaches -4 from the right. This indicates a vertical asymptote at x = -4, meaning we replace x with x + 4.

2.Horizontal Asymptote: The graph approaches -2 as x approaches . This indicates a vertical shift downward, so we subtract 2 from the function.

Combining these transformations, we start with :

Replace x with x + 4 for the horizontal shift:

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